Moczydlowska, M. (2007). Modified linear multi-step methods for stiff ODEs [Diploma Thesis, Technische Universität Wien]. reposiTUm. http://hdl.handle.net/20.500.12708/184147
E101 - Institut für Analysis und Scientific Computing
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Date (published):
2007
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Number of Pages:
48
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Keywords:
Mehrschrittverfahren/Numerische Mathematik
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Numerical mathematic/Multistep methods
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Abstract:
The purpose of this work is to investigate certain classes of approximation methods for the numerical solution of ordinary differential equations (ODEs), especially certain variants of multi-step methods. The stability of the methods is analyzed with special focus on the influence of parasitic solution components, which have a negative effect on their stability behavior. Different approaches are discussed.